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<div><a href="../index.html">Home</a> &gt;  <a href="index.html">source</a> &gt; generateHomogeneousState.m</div>

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<h1>generateHomogeneousState
</h1>

<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>This function starts a recursive function that return the homogeneous state vector and return it.</strong></div>

<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>function [ hState ] = generateHomogeneousState( m, n ) </strong></div>

<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre class="comment">This function starts a recursive function that return the homogeneous state vector and return it.

This function starts a recursive function that give the homogeneous state
vector and return it.

Prototype: [hState] = generateHomogeneousState(m, n)

Input:     m - Degree of the state vector x in homogeneous form.
           n - Degree of A.

Output:    hState - Homogeneous state vector.</pre></div>

<!-- crossreference -->
<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="generateHomogeneousStateRecursive.html" class="code" title="function [ hState ] = generateHomogeneousStateRecursive( m, x, varNumber, vect, threshold, hState )">generateHomogeneousStateRecursive</a>	This function in necessary for generateHomogeneousState to calculate the homogeneous state vector.</li></ul>
This function is called by:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="robLySearch.html" class="code" title="function [] = robLySearch( A, m )">robLySearch</a>	Calculate the stability of a system whit Homogeneous Lyapunov function.</li></ul>
<!-- crossreference -->



<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre>0001 <span class="comment">%This function starts a recursive function that return the homogeneous state vector and return it.</span>
0002 <span class="comment">%</span>
0003 <span class="comment">%This function starts a recursive function that give the homogeneous state</span>
0004 <span class="comment">%vector and return it.</span>
0005 <span class="comment">%</span>
0006 <span class="comment">%Prototype: [hState] = generateHomogeneousState(m, n)</span>
0007 <span class="comment">%</span>
0008 <span class="comment">%Input:     m - Degree of the state vector x in homogeneous form.</span>
0009 <span class="comment">%           n - Degree of A.</span>
0010 <span class="comment">%</span>
0011 <span class="comment">%Output:    hState - Homogeneous state vector.</span>
0012 
0013 <a name="_sub0" href="#_subfunctions" class="code">function [ hState ] = generateHomogeneousState( m, n )</a>
0014 
0015 syms x;
0016 <span class="keyword">for</span> i = 1:n
0017     x(i) = [<span class="string">'x_'</span> int2str(i)];
0018 <span class="keyword">end</span>
0019 
0020 varNumber = 1;
0021 vect(length(x)) = 0;
0022 syms hState;
0023 hState = -1;
0024 
0025 hState = <a href="generateHomogeneousStateRecursive.html" class="code" title="function [ hState ] = generateHomogeneousStateRecursive( m, x, varNumber, vect, threshold, hState )">generateHomogeneousStateRecursive</a>(m, x, varNumber, vect, 0, hState);
0026 
0027 <span class="keyword">return</span>;
0028 
0029 <span class="keyword">end</span></pre></div>
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